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Finding the Fourth Proportional to 10,480.68, 14,464.02 and 6,005.04

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Solution

The fourth proportional to 10,480.68, 14,464.02 and 6,005.04 is: 8,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.68 : 14,464.02 = 6,005.04 : x
  2. Step 2: Convert to fraction form
    10,480.68/14,464.02 = 6,005.04/x
  3. Step 3: Cross multiply
    10,480.68x = 14,464.02 × 6,005.04
  4. Step 4: Simplify right side
    10,480.68x = 86,857,018.66
  5. Step 5: Solve for x
    x = 86,857,018.66/10,480.68
  6. Step 6: Final answer
    x = 8,287.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.